VARIATIONAL ITERATION AND HOMOTOPY PERTURBATION METHODS FOR OBTAINING AN APPROXIMATE SOLUTION OF SEIR MODEL OF DENGUE FEVER IN SOUTH SULAWESI

Rangkuti, Yulita Molliq and Side, Syarifuddin (2014) VARIATIONAL ITERATION AND HOMOTOPY PERTURBATION METHODS FOR OBTAINING AN APPROXIMATE SOLUTION OF SEIR MODEL OF DENGUE FEVER IN SOUTH SULAWESI. In: 3rd International Conference on Computer Science & Computational Mathematics (ICCSCM 2014), 8-9 May 2014, Malaysia.

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Abstract

In this paper, the susceptible-exposed–infected–recovered (SEIR) model of dengue fever disease in South Sulawesi is discussed. The SIR model is formed by a system of nonlinear differential equation. We shall comparevariational iteration method (VIM) againsthomotopy perturbation method (HPM). The Lagrange multiplier is investigated for VIM and the He’s polynomial approach for HPM is used. The two methods are the alternative methods to obtainthe approximate solutions of the SEIR model.
Additional comparison will be made against the conventional numerical method, fourth Runge-Kutta method (RK4). From the result, VIM solution is more accurate than HPM solution for long time interval when it compared to fourth order Runge–Kutta (RK4) and plotting of real data.

Item Type: Conference or Workshop Item (Paper)
Keywords: Homotopy perturbation method; Hepolynomial; Variational iteration method
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Q Science > QA Mathematics > QA75.5 Electronic computers. Computer science
R Medicine > RA Public aspects of medicine > RA643 Disease (Communicable and noninfectious) and public health
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika
Depositing User: Mrs Harly Christy Siagian
Date Deposited: 27 Jun 2016 08:08
Last Modified: 24 Aug 2017 05:21
URI: https://digilib.unimed.ac.id/id/eprint/6029

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